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Finding the Fourth Proportional to 10,602.36, 14,636.73 and 7,472.52

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Solution

The fourth proportional to 10,602.36, 14,636.73 and 7,472.52 is: 10,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.36 : 14,636.73 = 7,472.52 : x
  2. Step 2: Convert to fraction form
    10,602.36/14,636.73 = 7,472.52/x
  3. Step 3: Cross multiply
    10,602.36x = 14,636.73 × 7,472.52
  4. Step 4: Simplify right side
    10,602.36x = 109,373,257.66
  5. Step 5: Solve for x
    x = 109,373,257.66/10,602.36
  6. Step 6: Final answer
    x = 10,315.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.